Author： Connors Jeffrey
Publisher： Springer Publishing Company
ISSN： 0006-3835
Source： Bit Numerical Mathematics, Vol.51, Iss.2, 2011-06, pp. : 253-273
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Abstract
One decoupling method for multiphysics, multiscale, multidomain applications involves partitioning the problem via explicit time discretizations in the coupling terms. Specialized, problem-specific techniques are needed for the resulting partitioned methods to avoid time step restrictions which make long time calculations costly. This report studies unconditionally stable, uncoupled time stepping methods for a model problem sharing mathematical structure akin to the coupled atmosphere-ocean system. Three decoupled time stepping algorithms are introduced and their stability and consistency are rigorously examined. Numerical experiments are performed that study their stability and convergence properties.
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